{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Mixture of Bernoulli Distributions"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Background\n",
    "\n",
    "Consider a set of $D$ binary variables $\\{x_d\\}_{d=1}^D$ such that\n",
    "\n",
    "$$\n",
    "    p({\\bf x}|\\boldsymbol \\mu) = \\prod_{d=1}^D \\mu_d^{x_d}(1 - \\mu_d) ^{x_d} \n",
    "$$\n",
    "\n",
    "<strong style=\"color:crimson\">E-Step:</strong>  \n",
    "Compute the posterior probability distribution considering the _old_ parameters:\n",
    "\n",
    "$$\n",
    "    p(z_{\\hat k} = 1 | {\\bf x}) = \\frac{\\left[\\pi_{\\hat k}p({\\bf x}|\\mu_{\\hat k})\\right]^{z_{\\hat k}}}{\\sum_{k=1}^K \\pi_kp({\\bf x}|\\mu_k)}\n",
    "$$\n",
    "\n",
    "The expectation of $z_{\\hat k}$ is given by\n",
    "\n",
    "$$\n",
    "    \\mathbb{E}[z_k] = \\frac{\\pi_{\\hat k}p({\\bf x}|\\mu_{\\hat k})}{\\sum_{k=1}^K \\pi_kp({\\bf x}|\\mu_k)} =: \\gamma(z_k)\n",
    "$$\n",
    "\n",
    "<strong style=\"color:crimson\">M-step:</strong>  \n",
    "Maximize the expectation of the complete-data log-likelihood over the latent posterior distribution $Q$ with respect to the parameters $\\boldsymbol\\pi$, $\\boldsymbol \\mu$\n",
    "\n",
    "$$\n",
    "    Q = \\sum_{n=1}^N\\sum_{k=1}^K \\gamma(z_{nk})\\left[\\log \\pi_k + \\sum_{d=1}^D \\left[{\\bf x}_{n,d} \\log \\mu_{k,d} + (1 - {\\bf x}_{n,d}) \\log(1 - \\mu_{k,d})\\right] \\right]\n",
    "$$\n",
    "\n",
    "---\n",
    "\n",
    "**Note**: In maximizing $Q$ w.r.t. $\\mu$ and $\\pi$ we are ommiting the effect of the derivative over $\\gamma$ –which depends on $\\mu$ and $\\pi$– since $\\gamma$ considers only its _old_ values, which are given constants.\n",
    "\n",
    "---\n",
    "\n",
    "Maximizing $Q$ w.r.t. $\\pi$ and $\\mu$ we arrive at the equations:\n",
    "\n",
    "$$\n",
    "\\mu_k = \\bar{\\bf x}_k\n",
    "$$\n",
    "\n",
    "$$\n",
    "    \\pi_k = \\frac{N_k}{N}\n",
    "$$\n",
    "\n",
    "Where\n",
    "\n",
    "* $N_k = \\sum_{n=1}^N \\gamma(z_{nk})$\n",
    "* $\\bar{\\bf x}_k = \\frac{1}{N_k}\\sum_{n=1}^N \\gamma(z_{nk})x_n$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from numpy.random import seed, choice, uniform\n",
    "from tensorflow.keras.datasets import mnist"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "%config InlineBackend.figure_format = \"retina\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The Bernoulli Mixture Model on Digits\n",
    "\n",
    "In the following example, we use a bernoilli mixture to model handwritten digits."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "(X_train, y_train), (X_test, y_test) = mnist.load_data()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We fit a dataset of $N=600$ digits, compresing the digits `2`, `3`, and `4`, with a mixture of $K=3$ Bernoulli distributions by running 10 iterations of the EM algorithm."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 386,
   "metadata": {},
   "outputs": [],
   "source": [
    "target_ix = (y_train == 2) | (y_train == 3) | (y_train == 4) | (y_train == 5)\n",
    "target_ix = y_train > -1\n",
    "X, y = X_train[target_ix], y_train[target_ix]\n",
    "\n",
    "X = ((X / 255) > 0.5) * 1."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 387,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 288x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 247,
       "width": 234
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "seed(314)\n",
    "show_ix = choice(np.arange(len(y)), size=4, replace=False)\n",
    "fig, ax = plt.subplots(2, 2, figsize=(4,4))\n",
    "ax = ax.ravel()\n",
    "\n",
    "for axi, ix in zip(ax, show_ix):\n",
    "    axi.imshow(X[ix], cmap=\"bone\")\n",
    "    axi.set_title(f\"Target digit: {y[ix]}\", fontsize=13)\n",
    "    axi.axis(\"off\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 393,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(60000, 784)"
      ]
     },
     "execution_count": 393,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "## Step 0: transform X into a matrix\n",
    "k = 10\n",
    "N, M1, M2 = X.shape\n",
    "Xtr = X.reshape(N, -1)\n",
    "Xtr.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 394,
   "metadata": {},
   "outputs": [],
   "source": [
    "mu_hist = []\n",
    "\n",
    "## Step 1: initialize ∀k. pi_k, mu_k\n",
    "seed(314)\n",
    "\n",
    "pi = np.ones(k) / k\n",
    "mu = uniform(low=0.25, high=0.75, size=(k, M1 * M2))\n",
    "mu_hist.append(mu)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\n",
    "    p({\\bf x}_n|\\boldsymbol \\mu_k) = \\prod_{d=1}^D \\mu_{k,d}^{x_{n,d}}(1 - \\mu_{k,d}) ^{1 - x_{n,d}} \n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 396,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 6min 9s, sys: 2min 33s, total: 8min 43s\n",
      "Wall time: 10min\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "for _ in range(25):\n",
    "    Xtr_ = Xtr[:, np.newaxis, :]\n",
    "    p_nk = (mu ** Xtr_ * (1 - mu) ** (1 - Xtr_) )\n",
    "\n",
    "    gamma_nk = p_nk.prod(axis=-1) * pi\n",
    "    gamma_nk = gamma_nk / gamma_nk.sum(axis=-1, keepdims=True)\n",
    "\n",
    "    Nk = gamma_nk.sum(axis=0)\n",
    "\n",
    "    mu = (Xtr_ * gamma_nk[..., np.newaxis]).sum(axis=0) / Nk[..., np.newaxis]\n",
    "    pi = Nk / N\n",
    "    mu_hist.append(mu)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 398,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 720x1080 with 100 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 807,
       "width": 572
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Convergence of mean clusters\n",
    "nsteps = 10 # plotting 10 steps towards convergence\n",
    "fig, ax = plt.subplots(nsteps, k, figsize=(10, 15))\n",
    "for m_i, ax_row in enumerate(ax):\n",
    "    for ki, axi in enumerate(ax_row):\n",
    "        axi.imshow(mu_hist[m_i][ki].reshape(M1, M2), cmap=\"bone\")\n",
    "        axi.axis(\"off\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Animating Convergence"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 425,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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bmdmwYTNl69ejuWyfVdOTXtHjRpctUrSIsjXso99epPDtZWtTsZ5syTPryb9S1fQZ6sWL57JlSJBAtwz68SGoeEYXAAAAnsRBFwAAAJ7EQRcAAACexEEXAAAAnsRBFwAAAJ7EQRcAAACe5Lg+5oF8adSyr7xh3ip55e161mslW668pWXbunGRbOnS6bmRCm0qy9ahip5TefnyhWz+t36WLUqkaLJFiqQnQ+J/kFK2+t3ayNayYinZzMwe//qrbNNX60mepmU+le2DD1LIVqxUTdm2blgqW5VGTWTLVkhP2R3celi2Hcs3ybZsxSTZLty8KVvNMnoibe/eFY6MwUDj1v3kNetrzubJgyeyrVmkJ7ZWblki25DBM2T7MLueg+rVpJlsk1Yvlq1qbj1Z0334eNniJo0rW4ZkiWXbd/Qn2ZInjS+bmdmXDfTs0Llz+vO9dotOso3o21G2qFFiyTZs8VzZSmXJLNvDp09ly5BCz8dtO7xXtrkL18g2speeo0qd+mP99rZ9F2yv2bBhI8jrte+EafJ280f7yfat30DZdu3Un1vfjZsuW75SJWT7tGJ+2aYNmSdblZZ6wjNeNP01tkF5/fjs76+nzg4c15935/39ZTMzmzpSz3ReO3dVtnxV8st2eJP+s7jzy23ZVq3SE2rlK+pzxOFDW2Sr17mdbLES6seO9pWry5Ynd0XZNm/Wjzn37t8M0vXKM7oAAADwJA66AAAA8CQOugAAAPAkDroAAADwJA66AAAA8CQOugAAAPCkIM+LTVi2Wt6wS+268nabftwj25fN+8uWv2oh2XYs2iFbyz56bmRsbz/ZYsaLod/ehtWy+RIrViLZshbMKVuJ8vll+/GInjEyM9u/5oBszT7XU2DlPikmW7WGrWXLVCiTbI2L6smyYQu+l23O4Kmy3fS/Ilu6jHlkS5YpmWw/TNPTPVWb6xm0Hi1rB9upIjOzlz4u9k+L1Ze3y/RJNtmivB9ZtoXj9Z9bjTZNZVs3Z5VsAyf1lK1X22GyVWhXQbZ+jTvr1+k3VLYRHQfJVriKnv2bOljfzsysZZ+vZDt74IxsvXs1l23cjB9kG9ilrWxRo8WWrXj5WrL176tnJL/oNlK2JfMny5YkSQbZ1m/Uk0Trjx2TrUSmTMH2mt155oy8Xrdu1Y/rqTImly1PSj1juefcOdnuPn4k2+WT+jH49IHT+u1tWSfborX6z7N7pxGyhQwVUrbCtQvLtnSMnr789YmeyjMz6z5UXz+9Wg+WLW8lPXlYonAu2crmLytbypQfybZ02VjZmrTqJ9v2Dctla95Hz/oV/yS7bK3r9ZAteUY9Lzm8XzvmxQAAAIBXOOgCAADAkzjoAgAAwJM46AIAAMCTOOgCAADAkzjoAgAAwJP0FsdbzPxWz8D0GK1nLPKmzypb7wmTZCtbUM9t+LJ68Wb99oboWZDlG3bKtmbJPNl8TYitWzddv841eopp4/HjsqVJk1Q2M7NiefQ0VNUStWWr3bKDbJ1b61mhfB+XlG3XTydkixAmjGw3KpWQrWfrerINmDVKthDv6X/Hi5s0jmznj1yQLbgbPG2hbEOn9JHNNT1BmC1FGtny5NGTXhvn62mhzZv1tJD//fayJUydQLaZffVk3KyVs2WLEzWqbPPjJZbNcfQKzrrd+n03M0uXSE/fXbpxVbZZyzfItnulnmBMmiyjbDduXJTt/HE9bZgikZ6x8jVpuf/kj7Llz1ZAtuv37sl24+Yd2YKzOw8fyjZrmP4au3XXCtmSJ9TTTe+/r6+fWLETy1azi54mHDZQfx2p/dkt2Zp+1kW2/hP0NNWewydlu3Hxhmyfdaoq29mT+howM0sQI7ps8ZLFl61muaKyzV62XrbUqfQU6cFD+nYrDh2SrW7ryrJtXrNYtlxZ08k2+Fs/2R4/fiBb0gy+zzRBwTO6AAAA8CQOugAAAPAkDroAAADwJA66AAAA8CQOugAAAPAkDroAAADwJMfX1IsvD54+lTfsM3CKvN2hrXtle/HiuWyT5w6R7by/v2zThy2QLXPhzLJFixNNtp2L9VRPmtxpZYsULaJshzbo6Y8xA7vKFiZMeNnMzGLG1PMm/v6XZRu3cqlsrcvqKRJf82rnz+npoGad+8v28I6e2clRKods927qyaGbV27KVqZSIdmu3r4tW6Xs2fWmVDAQKVJ0ec2euHhG3i57uuyylayg593eT/C+bAsmTZAtXjw9r3Xx4jHZOgzsJ1uk6JFl+374d7KZj8fHY8e3ydZ72mjZFg37Xr89M/vhBz2LlyBBKtnaD+wrW6XCn8iWJI5+jDh0Tk+I3X38SLZpo/XHtHLD0rIN7jxStvPnj8g2ZYmfbNmS6s+n93ztwL1jA6bMk598g7t0lrcLEUKvhg5eOEO2jXM2yhYttv56OG5gd9miR48r29QV82Xbv1df5/NG6SnOy5f1hOXqPXpq9ODpc7JN7a2n3MzMEiRJIdueHatlCxUytGxXrpySLU3aPLJlyqmnx7KX1F8rI0WOIFu9Qp/K1r73INnO/qg/pru2Lpdt35HtskUNHz5I1yvP6AIAAMCTOOgCAADAkzjoAgAAwJM46AIAAMCTOOgCAADAkzjoAgAAwJP0DslbZEmvJy4Gz9PTQSf36vmP/mM+l+3wZT2FFSdKFNlylftYtptXb8l28fhF2ZZ/N122bt315NCdR3qOZ3hHPY105toV2TKlTC+bmVns2Elke/z4vmwzvtYTLgu2rpWtUNp0smXNWky28YP1RE2xYg1kO7DugH57RbLK9mHapLItWbhetm+6NpUtqFN9/5QcOUrJlj97YdkiRIgq28rF02SbvW6Jvt3cebItXqHnCRvW7iHbxD56gjBSpOiylWtUXbaQofVD5IbGM2ULEVI/hxAydCjZzMzO3/hZtnkr9ARUrqz62sudJZ9sxYs3km34YD1HdWzvftl8TReWqVtctuQZU8oWN7GeQdu2Xc8zxo6svz4kfl9P4L1rTx89lW3s8oWyPbivv85UzJ5Ntpqf6Am67kMmyRY//oeyHTq8Rd+X8q1lS58nk2zJU2aU7eef9UziuKGzZfuim74Gkk3oLZuZ2dbN+jpo37OhbNEj6Emv8kWryfZZB/310NdjS9SokWRbM2udbNf8r8k2aNwc2cq3KCvbTL+vZWvZWU+Wjfq2o2y+8IwuAAAAPImDLgAAADyJgy4AAAA8iYMuAAAAPImDLgAAADyJgy4AAAA8KcjzYvHiJZMtS+LEssVPmUC2GdOXyjZv4ljZipWtIduuTWtku3jxuGzJkul5k2JlP5Nt+nerZRvTW8+UpEunp12yps4iW7RocWQzMxs3b4RsowfpeaQSdfQU2Joftso20G++bAM6tpet+ed6Xi12otiyjezxlWyXTp6X7Yclo2XbtGS7bPvP69cZ3PUa0022TnX1tN/sH/Rc4Iz5q2SrU7yKbAeO7pQtb84SsoUJE062jsN7ybZktJ46e+Rjjil02NCyRYuqPy8vndDzWieP75HNzKx8sZqyFSijJ+Jmn10mW/6iFWQLH1nPHKXKkUq2Z0+fyRbyhP64nTun5xLXLtKzWeMW6dk5X9N+6ZKkkO3hw7uyvWthI4SVrUg6PSVXrEBV2Q7k13OMIxfqayTK+3qiLXky/fWpQSN9TS5bpr+mL12q/zzP3Lgh24+X9Oe5/896TnT32bOyjf9Sf60wM0uVJYNsPVsPlu3Ikc2yfdZCT6/l+khPiras0U62MXOGyfbwrn4MzJVNnwU6j9YzYQNa9NS3u3VVtmpNWsgWVDyjCwAAAE/ioAsAAABP4qALAAAAT+KgCwAAAE/ioAsAAABP4qALAAAATwryvNilSydku/XwYZBe5/A+nWULG1ZP4PiN6yNbs459ZYufSs9Y9GhSX7Zx88fI9tLHzM3Tx/r9+2HqDNlOndczaDNXrJfNzKx/F31fc5fPJdusb+bI1virurKFD61nhTr0Hyjbool66mzEbD2L0vmy/jys176TbENnfCfb4wePZZs5RU/wZOmtJ2GCg4Gd9UzO3bt6sidn+uyyFSxSXbbc+crIFiFMGNm6jusv24Wjet7tyk96tur77/XnUOL0w2VbvXCBbG366mmdcX30+/A24cJFkq1+g3Ky+fqYTpmtp8diJYwl2+LR+v1/+queJIodN5FsJfPoz6cnX+gJwpzJk8v27Plz2eq16C5bcDZzqH7sbltLz2i9dF/K1q6Dnq5bu/ugbNN6T5Rtz+7lsu376ahsmQtnlu3QxYuy9Wqrr+UGPWrLVjJ3NtnSJflQtko128hmZjbfb6Rs4cJFlG3bgS2y/XL/vmzxokWTrWGvVrLVKqU/Nr5mG2PEiCfboQ2HZDtzRk/ZZUifT7YUWfUcYFDxjC4AAAA8iYMuAAAAPImDLgAAADyJgy4AAAA8iYMuAAAAPImDLgAAADzJcX3MYflSsWIHecOsxbLK2y2dOl+28OH1rM7jR/dkGz13hG4DpssWJ0lc2UKFDSVb87rlZVuyY69sKRPHl23Nsm2yTR6sp4oSJkwtm5lZppy5ZVv+3VTZek8dJ9tP+36SrU2zarIVylVCtl5Th8p28/pt2eYNmSZbj7F6VmjyN7NkGzaqi2y+Zl/Sxo/vyBgMhAwZSl6z+86ekbebNnGRbJFjRpHt1J5Tsn09tJ1sfjOWyjasZ0fZzl+7JFv+nMVlu/HLBdkWbFkr2/iv9WNLskzJZPv2y5aymZlV/UzP4n2QXE/9pMubXrbb1/Q1NLJbL9m+GDtItg5VashWo2EH2dLmTivb6qmrZEv/SQbZSpfPL1vU8Hqa8sO4cYPtNdux1yh5vWYupKe5Tu05KVvPdno28z1HfyiiRHlftobtesh2/6Z+vNyzdZ1st29dk+3e/ZuyRYsWR7bkybPot3dbv72mvfUsqJlZ1Pf1Y+DP56/LFim6Pu+ECa+nAn1NeiXNmFS2BiWLyNawcW/Zrl/Rj6udhujH4zkjv5fNb2JP2Vp21o85Iwd0CNL1yjO6AAAA8CQOugAAAPAkDroAAADwJA66AAAA8CQOugAAAPAkDroAAADwpCDPi01Zu0HeMEfqlPJ2nRr3kW3tWj/ZTviYuFi2YadsC0fPkO3p00eyNe6p54+61K4r28ZDu2W7dueObJN666miaHGiybZtvZ5iMjM7fmKXbDGi63m1facOy7Zqm55QCx0utGxNS+mJp70+5q3SJ0ggW5PmX8sWLnJ42RbPniDbnTs3ZPt2xmzZWlYsFWyniszM9p8/L6/ZPYf1JNHLFy9l+6JeXX27ly9ky5GjlGx9x+u5orK59UTOqt2bZFu4QM+ELfbTE3Vhw+ppqhQf6omnn69ekM3e8pgbKrSeFmo/qL1svh5Dvv9+iGx9x82UbcG4KbLduHFRtmvX9PW85+xZ2c7+8otsqybr6bE23erJtnz5Vtm6t6gVbK/ZSpX0hGfaPOnk7SpXKizbkctXZGtWvKxsNerrubhh3+r23V79taJFyQqydeg3UDZXPxzZ3tV7ZGvUU3+OzBm6QLYPs6fSb9DMoseNLtuVU5dl69K2jmz9h/jJ9nnb2rI1aaCnAuP6mFPdtnqlbMPnjpJt5eLNsmUvrGdmj+4+IZuvibQauXMxLwYAAAC8wkEXAAAAnsRBFwAAAJ7EQRcAAACexEEXAAAAnsRBFwAAAJ4UMqg3HN5Rz4S1/OYL3fo1k83X3NfQQXo6p05TPVNyZEtG2SJFjyTbsgnLZEucSE+73H74ULb8qVPLtiWbnmS798td2WLFSiSbmdnT336TLXLkGPr1Ro7s8/UqHavVkO2TPJVkK5unmGzlazaRLXvJHLJ1qF5Vth4j9bxY7ESxZXvvvWC7RvRW4wbrabQIUfQU29hB+nq+elPPQQ0aNUu2ClX0TNi6dXoS7+OPy8lW4uNCsj1//kw218de0crdej7nxJWrsoUNo2f27vjr69nM7OwhPb91/MfTskWNHVW21Kk/li1B6oSy9Z06WLYZA+fJljWrvp7PnftRtpJlG8r2Xgj9vMyO/UdlWzB+smzdW9SS7V3rPKC5bJu27JdtWH89l1e7lX4MjhRJfz1Yu1TPb5U5rj8nk6ZJIdsLH9fkzau3ZPO/7C9b6376a3Vuu08AAB1bSURBVMWQziNlq9KhmmwtyujHHDOzwoX1TFiTXvVl8zU32qOTvt2YOXpSdN0aPafqa/r0zg19X75u/a1sBasWlW3t3A2yHd2zT7ZuebvLFlQ8owsAAABP4qALAAAAT+KgCwAAAE/ioAsAAABP4qALAAAAT+KgCwAAAE8K8rxYQR+TG74mptL4mLkZMnOIbBs37JFtRO8pso0a+6VsTRv2li37p3q2anv372S7/UhPpKVOmUW2Bp0+ly1G3OiyTR37tWxmZld9TJiEDh1OtnVH9VxP5Jh6emzcqiWyxYkSRbZJ38yU7czhU7KNHNBRtgQJUsnWs4WeMUqTJpdsyVNmkq12gXyyBQcfFftItghRI8jWPtIw2SqW0h/HaNHiyFZvhp7ByV9SP7ak/0RP+z1+fF+2UdP6yrZkzTbZDviYTvq6eTvZGnfRk2zPnz+XzcwsbrJ4ss0aomfxilTSH7dqzZvKNqhVD9kWr9MTYuvX6rm6AycPypYqYVLZUufU12zyTMllWzVltWxzV+qZu+Ase7JksrWv01m2FGkyyPbYx9zkmXOHZevw5XDZlszVX3/fey+EbNuP68+RHB/q6/zoBX1Njhu/ULb16/VjTrqP9cesaFE99WVmFiZcGNkm99GzqFev6hnBfpP7ybZogr7ufE2G5sugH//7TfWT7cHtB7LVr1RctrTJ9J/hzmN6XuzvwDO6AAAA8CQOugAAAPAkDroAAADwJA66AAAA8CQOugAAAPAkDroAAADwJMd13SDdMG3aPPKG38wcIW/Xv0Uf2RIkSinb2tV6puPkhZOyzV+zRbbDW47I1rhtNdlOXLkq2+WTl2V7dFdPjy3ymypbvmJlZKvcqLRsZmbtqreUbceelfp2nfTUm685laN7Dsj27NlT2RIm+VC2BXMHyxY/vr6dv/8l2Zp20rNsI/t1ku3ZMz3P8/LlC0fGYCBr1mLymj1zRv+5Lduj57emj9RzPk076JnBmVP0DN321Wtky/NpMdl2rlknW6XmtWWL8UFM2TIlTyJbopj6dnVrdJUtZMhQspmZ3bhxQbb4CVPItmHdHNkGzdOPn75m8ZIl03N62XPqaaEVyybJNmLRAtl8PSYnTJVQtr2r9sp24ohu+/evDrbX7Odfj5HX69rvF8vbffCBnmHzNSl58sQu2YqUryRbm7afyVa/ip7gO7BfT8LlL6AfO3ydWap21l+3syfXc22Ooz8N+vUYJ5uZWcYC+hppV6OCbF+P1ddk5Bh6wnNyXz33+EmxkrKN+Ka9bIOm6WtyoY/7uXSNnu5L6eM8N2bFItlWTtLnkumTewfpeuUZXQAAAHgSB10AAAB4EgddAAAAeBIHXQAAAHgSB10AAAB4EgddAAAAeFLIoN4wYsSosl08q+e3du7UsyjL1jyQrULJi7K1bTFAtpCh9btYo42eTNmweZ9s80dPkS1viRKyhQgZQrZS1WvK1rqFnkwJ7eN1mpkdP75DtiaN9dTbhAk9ZNt3/rxsidMnlm3pRD1hsmeHnhT5YqCed8maN6Ns0/rq6ZPa9cvKNugrPcmWM6fvObfg7N49f9mGzJ8r27YtenosyvtRZAsVUl97A75qIdv+OnoiZ/FcPT22Z+8K2fJd1ddl5Jh6yqdiQf150qzHl7IlSadnybKXyCGbmZlfr4mynfnpkGyhQ+vZv6eP9LRfjhylZHv8WD8mXzh3QracOfR1Mr3vZNkSJtPTWJOG9pZt1NLvZTvVQX/+Bmfp82WQLXkW/XGKG/d92bav3iNb+bblZbt7445s1UrVl61iUz3rt3//Ktl8fd3yNVN5oJqeLMuSRU8T9hmlJyUP7N4sm5nZ+DHddOutr/XRvXvKlvsT/WfRe8pA2Y7s0dfkxBX6sXP/Gn2NbNmmp8BSJNNff5t10ddrrU/yyla+fBvZgopndAEAAOBJHHQBAADgSRx0AQAA4EkcdAEAAOBJHHQBAADgSRx0AQAA4EkcdAEAAOBJjuu6Qbpht0GT5A3bN9W7r30G6A3F9+PHlK1y2UKyFcxWQLatB7bIFj5MaNkGDpspW9xkcWW7cuqKbD9u3ytbmUZ603fI51/IVrik/libmT19+ES2+p9/Jlu2pEllGzntO9luX9d7iztWr5et1aDOsm1ZoP8M3wup/10tdqLYso3t21O2z5q2l23Pen1ftm5d4MgYDFy8eVNes1tPnJS3q1tAX19nr/8s270n+nMvVmS9XTt4uL72Xr58KduLZ89l+7xTPdkihg0rW43K+nNh/Xp9PyNGjCbbyXPHZDMzO3pFP4YM6jRKtgsXj8oWMqR+rHv4UF+zIUOGku3GjQuyPX36SLaWXfvLFiFqRNnaNawiW9kSDWWLHl0/DixcODjYXrMfffSpvF7nrZgubxfGx3717Uf6z6VCAb0ZXbVxM9me+Pga84WP627kJL2rHjK0/rxLlimZbPMHzpOtcK0ism2eu0m2rgP1rrqZWb2y+n389dfHsqXPqLdk/abrjftjV/TPKbj18KFsC8cvke3xPX0/d+1YLtvk5XNk86VTLR+Pq1v1bm/U8OGDdL3yjC4AAAA8iYMuAAAAPImDLgAAADyJgy4AAAA8iYMuAAAAPImDLgAAADxJ75C8xZAeeh6iV/v6stVqoCdMQocMIdvEid/LNmLRDNmiRoggW5vWA2QbM7qrbN/t2C3bSr8fZCtZv7xstUsXlu2n/T/Jtvr72bKZmVVr1kK2jjVby7ZrzyrZChbOKdutBw9ki5c8nmyHNhySLV/VfLLFiRJFttZV9SRO3dZ6zuzwNn1f/i/Lm1V/HDsO0pNPE1aulm2i32LZdq3SU2zhwukZqbhJ4svWtbuekYoaXl/rvia7ujbQ832Jk6eWLUni9LIdOqLf969H6mkoM7OP8mWULUXWD2Vr3LuBbKeOnJVt3qipsvn7X5Zt9d5tsj3zMQN36Nhp2ZqU+VS2DOn1HNPslfpx8OHTp7IFZxmz5ZIt1QcJZCtevLFs4SPqa2TdTn2d779wQbb5QxbKFiFMGNl8TVH6moac8OVI2cKH17OF0eNEl23Naj/ZTpzQX+/NzOLG9TXFqR9X0yVMJNvPV8/JlinXx7JdPa2nx3x9TG/+ck22g8d2yTZj+TrZTuzWk5VfT/lWtpkrN8jWsmIp2XzhGV0AAAB4EgddAAAAeBIHXQAAAHgSB10AAAB4EgddAAAAeBIHXQAAAHhSkOfFFu/eLlvZMnrS6j1HT4h9O17P/CTLlEy2Td9vle3rJl/KliBBKtkOX9ZzRAfWHZCtcPUSss0cNFa2kKH0H8XL5y9kG7ZwimxmZkM6DJatdK0aslWt3FG2X399ItvJk3qK5NYtPX1y4+bPsq06fFi2DjXbypYhc27ZUuXQs1GdW9eSLUm8xLIFdzk+LilbuYL6Y7Vy5z7Zls+aI9vx4ztka/3lINk+zK4ntBpV15+XydOlkS1BKj1Zlq2Anq3yv+wvW/Gq1WUrVEC3VgM7yGZm9t2YJbL5mtqrkEPPDu04eVy2DFn042CZbPp1dmveT7aly8fLNrKXfswqmD2TbJEjx5SteXX9OHDo0HrZHj68K9u75usxKvthfS1Hi6VntAp9VlC29En1dddjpP7z/Pnqedk+iKMntHx9/U3v47G7/6Q+snWq+7lsrcpUki1xEj0VWKRCRdnMzPKX0fc1QQz9Z3HmZz3pdfHmTdkWz9IzcA8e3JLNvaAn/4p+pme70qbQc4ehQ4eT7d49/di5f6ueX8xbsrhs5vuPQuIZXQAAAHgSB10AAAB4EgddAAAAeBIHXQAAAHgSB10AAAB4EgddAAAAeFKQ58UO7TshW8t+zWSrXbi0bJMm6rmRSUN7y5YmjZ73uHDhiGyzl/nJlj9LHtmmrVks25bVu2V7+usj2TKmTyHb4c16Xqtoej2LYmY2Ocr7srVqWFm2tN/oj3el2j7m497T/+40YLyeenNdV7YXL/Usym+/6amzTxvqmZJaeT+Rbd4uPZF26vJZ2YK7ul30nFzsKFFka1mhrGz1m/eU7cyZg7JVq6Vn+OZMXy5b/CRJZWvVsaZsBbLox4i9x/fLNnPhKv326uitm2/ChpYt9QfxZDMzu19Jf24WzpxBtnk7tsk2ZsAM2So0LSNbk/b6ceDSicuynb1xQ7b3QujHiIpFqsgWMmQo2cKH15+/nw8YKVtwFiZ8GNmqtKojW7NKenps2tqNsuXPX022ljX0Y0CRAtlly5NWT1OVb6Dfh286NZft9IlDsj19qr/GlirfSLaLp0/Jdni7fnwwM/thpp9sSzfrqcCla/RE6/1b92W7fl5fWyOm9de3u6en9KYPXSBb9cZtdKutP9fqlK4tW9Lk+tzSvVN92YKKZ3QBAADgSRx0AQAA4EkcdAEAAOBJHHQBAADgSRx0AQAA4EkcdAEAAOBJQZ4Xu/uLnqp4+uyZbNmy6cmnZJmSyeZrWibdR9lkixMniWzpE+nWdcAY2eJHjy7b2P49ZIsQIaps1QqWkm3roR2yVa7YXjYzs8od9VxPCB9TYJVq6nmX4QM6yOa3ZoNsYUPpyaUNx4/LNqz9ANnyl9CzN2cP6SmwEt/MlK3rUP0xDR9avw/B3bxRi2QbcFrP0sSNq6/Lr3o2le2e/z3ZGlZoKNuFC8dkq1BNf16u33FAtmNn9Mxg2mTpZNtwUE8Abf/pJ9nGDfhKNv/L/rKZmTXtoGfgfrp+XbbGxcvL9u2c6bL5ehyIHCOybBfO649pqJD6S0uzL/TsULnc02QLGzaibDdvXpEtZ74+sgVnq6etkK1hL339DJo8T7bb1+/IFipUWNkypddzm9NXzJbN19zXrhV6Dq9Zp36ynT6kp8Daf9tStpJZc8oWOXIM2cpVayKbmVmkSPo8MHWKniKtU09/7Vq1Sc+UFqxZULacqfX8YNue38q2ae1C2SYv159Py5dvlS1XQX3Wy/bpR7I1qt9Ttnlz9FnAF57RBQAAgCdx0AUAAIAncdAFAACAJ3HQBQAAgCdx0AUAAIAncdAFAACAJwV5XixcxHCyTfpqkmwZPsks247Fekbr1q2fZbt+/pps2YvrSZF8VfRsRrr0yWVrVkPPT6VPl1e2/QfWyFa/VXfZKhatJtuDB7dlMzMLNza8bJ+Ozyjb8QOHZGvasq9sEaNFkm3e4Bmyua4r2/Xr52UbN2SJbEmS6PcvZsz4snWp31W2DZv050xw1/fbNrJVKlFHtg4D9fTYnUd6Pih5Fn0NLZw/RLYQIfTD0pOHT2X7vM5nsp1u3VO2Fj30/FS/rmNlCx9ZX1uJE6eXrVjtIrKZmcWOEkW2yoXKyZY2TW7ZfF1fIUOEkC185AiyHTm6RbbVO/bJ9mGKRLI9f66nKRt3+UI2X1OCP/10UbYi6fS03LuWMnMq2W5cuynb/dsPZHv54qVsZ88elK1Oe/3Y8cv9+7It2qtnskZ0Hi5b5kL6nLBxmX7M97+v3/fajfXnz0c+5q5alC0tm5nZgXOnZYsUVp+T2jbSX0e/HNxKtgwJE8r2fIaezfy6eWvZOg7U02NZEieWrXArff1M27RZtvOH9df07gP1RFxQ8YwuAAAAPImDLgAAADyJgy4AAAA8iYMuAAAAPImDLgAAADyJgy4AAAA8yfE1O+PLtA2b5A3rFyksb9e66yDZ/K/oyRTHcWRLnVPPsAzs0kG26vXayXby0BHZeo3VU2D92+nZpJcvX8jWvF9z2eoUKiFblCgxZTMzK1+zoWxbV62SzW/xRNla1uwsW85i+WR78Uy//+sWfS9brY4tZFs+ZZFsLQfoSZyIYcPK1rmWvl2a9DlkmzW9n/4kDQZy5Cglr9kUqfQUW+se9WX78ZSedRreWc92fVKkpGyl63wq28Re02Q7fVpPWtVo1VS23m0ay/bBBylkO3h0p2xZ0uupr8iRfV+zPSd9I9uLl3oeqm5B/XGbu3W9bNf99UThpx/pmaciefTs0tmzep4wR45Sss39YZxsw8fOla198+qybTl1SraK2bIF22s2VqxE8nqNGfMDebuRC/Rjd+L335ftm976dquXzJKtSEk9f7l1/VLZOg3T81r9WnSUzdfcZK8xk2VLnUnPHa6dt0m24/v057KZWaRIMWRr0quebDMH66nKNLnTytajuZ6CvP/ooWztOuuzyd4tG/TrvK/PZROW6jkzX1NvIzroObO7d3+R7dixbUG6XnlGFwAAAJ7EQRcAAACexEEXAAAAnsRBFwAAAJ7EQRcAAACexEEXAAAAnhQyqDd88vCpbJ2+HiVbrISxZLt59ZZsKbLqmZ8Xz/XkTtiwEWT7/IsGsq3b/6Nsi2atlq3LED1ZNqDDMNkO7zou29Yje2UbM2yObGZmO9fpWaEnj/X8R8VCFWXz9TGdPERPxgyer6dIls/V8zX3frkrW+6S+WWrnPNj2dYc1pMx3SboeaedK3bLFtzdvn1dtmSZKsg2pLueHdq3Z41s+YqUky1Dfj1nNrzzCNn85uuJnFX7DsqWOF5s2a7dvCHbmqN6ZrBYgaqyHT6mp8emLl8nm5nZ9Wv+st28qqd+Ri7VE30Hdur3Y86o8bI9+bqrbIePbJHt6W+/yXb6hv54Dx6uHyOixooiW5pkeo6pfhv9PlTMlk22d63ZFz1lixFPT1od/vEn2Rbs0XNfOzaskC1JkvSyVW1eXrZKTcvK9vMv+uv9ok36fvo/0F+3dm3WjwGVcurJv9E/6LeXNGNS2czMEqWIL1uVPAVkCx1aT1z++rSGbG266cfAWDH049z244dl63lJT3qdOXNAtip5i8qWPbueEYwQQV/Lhw7pM0tQ8YwuAAAAPImDLgAAADyJgy4AAAA8iYMuAAAAPImDLgAAADyJgy4AAAA8KcjzYqHChJJt77rtsvUc0022qd8Ml+3TBp/KFjd6VNnyFlwm293Hj2ULETKEbDcu6Jmmj5Ikke348R2ypc2ZQbaWNTvLVrhKSdnMzKaO3iTb+etXZIsbVX9M/dZvlG14Bz0vdmCdnilJlSqnbDkKZJHtzE+XZIsaVU/ZzRmzWLZQofVl0aRtddmCuy6jBsjWtlJl2VKm1BNMOfOUkG3w4I6yFcytZ4em/jBZtg6tvpVt1/blskWLFke2TDnyyJYuTzrZLl85KVuaD7PKNm7JbNnMzCKECSPbnE169vDSicuyXT2rr5PLl07IdvOKnjPLnKmgfntX9cTV8t2bZevQpqZsjWvprx2ZMxeWzW+k/pwZ0K25bO/avrV6yjBPuXyy7V6+S7b23zSTbfQQ/XXm0MWLsmVImFC2dUePyja4TXfZbt/RX2MbdNBzcWcPnpVt5cF9si2bqyetEqbW75+Z2flT+toqXa6JbDlK6a95X7dsJVv43ZFkW7hDT/5FDqfnzEo01o/jC4feky1f8dKyrfpeP875mlZ79Ei/vaDiGV0AAAB4EgddAAAAeBIHXQAAAHgSB10AAAB4EgddAAAAeBIHXQAAAHhSkOfFLhy9INvDh3dkG9Fjkmy79q2WLVWyjLIdOL5Xtq5dR8h276aesfj56jnZchUrJFuBvBVlO3Vaz2slTZxGtsVbVsnWr+Mo2czMxi1fKtuz589lO3ntmmzRIoSXrcTm72Rbtme/bL9c8pft4sWfZWtZWc+bbJmvZ4yOHdBTM93GfCXb8xcvZAvupvebIFu/KX6yzR2m28Wzp4J0X5Ik1XN6A3vo+xnzg5iypUmTS7bly8fLduzYNtnaxh8kW6vefWQ77GMGrFXF+rKZmd24cV62sGEjyla31ef6bXb8QrbDl2vJ5mvqrEblubJdvKlnyS746/b0t2eyVWijH1svHLsg24P7t2QLzp4/1x+LBlX1HFTlMnr2rWGVNrL9eHiTbF0G6+nPOZf1rN+D2w9k+7hAcdlmT9WTcMkzJ5dtyfSZsl2+Xkw2X5OSZw6ekc3MLEGqBLK9fOHKFjuhnr/sPUk/Xt2/dV+2kV3HyLZxo577+uQTPS/pa+qtesMusl0/p79ub9ig70uuXOVl27FjkWy+8IwuAAAAPImDLgAAADyJgy4AAAA8iYMuAAAAPImDLgAAADyJgy4AAAA8yXFdPX/hy+nr1+UNc2fIIW+3aNta2eZMWiJbvOTxZCtaOKdsOVN+KFvZsq1ly10ht2wfZdVTYNu3HtT3JbeeSGtSro5s9Tq1l6108TyymZn99lzPYb3nOLIdvnBRtkxJk8h2yscs2YrJeiatUacassWLGlW2muWbyla5ZW3ZxvbsJ9vdu7/I1m2UnqtrWam0/oAGA0mSZJDX7PJtK+XtMifVcz4Hz+npncXL9bzb4U2HZUuWKZlsRUvrz/e5E36QzZfqTcrJNvzLibIlz6zv5+61W2QbMXOgz/sztM8U2ebO0HNnqVJlly18+Ciy1ezcSLZ2VSvJdvvebdmSJNSPu+Wr62v26z4tZKtStplsly4dl23QPP1nWC5r1mB7zcaPn1Jer9sObpe3a/xZZ9n6jP1StrChQsuWK3V62eLFSyGbr6nRirX0n+e+Lfqx49KlE7LNWa/nNHft1I85M4fqWa6Bs0bKZmZWJU8B2TJkyC/birV6Cm3weD3dt2LWAtnu3dMznbnylZRtw+r5spWqpM8mXb9sKFvmD/WE5JYf98iWPmEi2V68eB6k65VndAEAAOBJHHQBAADgSRx0AQAA4EkcdAEAAOBJHHQBAADgSRx0AQAA4Ekhg3rDbUf1xMe6/dtkm+mn5z82LPtetqLlK8t24eZN2YbPXyzb5VOXZXt877FsK77fKFuD+uVlu/dYv84PPkgp24b5epYrb76sspmZ1S5eRbabN6/Kli7dJ7Lt2qVn4Fp/MVi2Wm31VNF8v2Wy3fO/L9vevStk8yugJ2OmfhNBtoMn9UTc6evXZQvuKtfXs05dmn0j27TNG2Tr94X+GPsyYlxX2SbNXS7bk2fPZFs4c7RsESNGky15Vj2P9PjxA9mO+pgrSpZGTxB2a/GtbGZmgyfoCaiabfQ1tGnVLtky5Ekn25C2/WV7/OShbPefPJGtcDE9F3j3l7uy1a2up7FevtRTiTFi6PnJBkVLy1bulp5DfNdSpMgm29p9h2S7f19/Pdy280fZvu3QQbZeYybJVjCfvp8rV+mzwKGN+r5EjRpbtvffTyBb6Rx6fjBtWv017cuJ+vFviZ+eXjQzK1W2iWyTJn0lW/o0eoY1VSo9meprsi3Vh/p1JkilP25Ns3WTbcZQPa92cOdO2Xw9du46fkq2Ju309GdQ8YwuAAAAPImDLgAAADyJgy4AAAA8iYMuAAAAPImDLgAAADyJgy4AAAA8KcjzYj3q6qmiEYtnyfZFh7qyDezRQrarV0/LFvODobKN799XtnwFK8iWOH0S2fxG6HmgRg0ryrZ9zxHZHMeRzd9fz6AtXbheNjOziUv1n8Whg3rio3/bNrL5mmrauPQH2Ro00R/vo7v1pFeIEKFkixYtjmzd2unPi7J1asoWNXx42SKHCydbcFekfF7ZCpTJLduUfjNlS+rjOjm0ZZ9s/Qf6yfZFp3qyNardXbbHj/UM3YMHt2X7qmkD2W7c0nNyW07q62f8V1Nka/51I9nMzD6M94FsWbIUka1qS/1+zOo/W7Z6XzaTLXo0PfPka4Jw//41skWJElO2AbOnyjazv2537jySLV++arIFZyFChJDt0V39/mbI/rFsE/oMkO30BT0ZWr5UY9mSpdWPATUqFpWtXKn8sn3VVj9256+mb7d7t54mjB5df604c+CsbJmLZJHNzKx7Pf2x2XBcz6Ku2amvkdL5y8n28KGe5zt7Ts/OPfAxS5bmo0yyjVqop+UaldYzgiMXLZLtl4u/yFaziZ5oDSqe0QUAAIAncdAFAACAJ3HQBQAAgCdx0AUAAIAncdAFAACAJ3HQBQAAgCc5ruu+6/sAAAAA/OV4RhcAAACexEEXAAAAnsRBFwAAAJ7EQRcAAACexEEXAAAAnsRBFwAAAJ7EQRcAAACexEEXAAAAnsRBFwAAAJ7EQRcAAACexEEXAAAAnsRBFwAAAJ7EQRcAAACe9P8A8NNnc9gND8sAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x144 with 3 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 132,
       "width": 349
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.animation as animation\n",
    "fig, ax = plt.subplots(1, 3, figsize=(6, 2))\n",
    "\n",
    "ki = -3\n",
    "k1, k2, k3 = 0, -1, -3\n",
    "def animate(i):\n",
    "    #fig.clear()\n",
    "    for axi, ki in zip(ax, [k1, k2, k3]):\n",
    "        axi.cla()\n",
    "        mu_ki = mu_hist[i][ki]\n",
    "        axi.imshow(mu_ki.reshape(M1, M2), cmap=\"bone\")\n",
    "        axi.axis(\"off\")\n",
    "    plt.suptitle(f\"EM Iteration: {i}\")\n",
    "\n",
    "nits = len(mu_hist)\n",
    "ani = animation.FuncAnimation(fig, animate, nits, interval=300)\n",
    "ani.save(\"/Users/gerardoduran/Desktop/bern.gif\", fps=9, dpi=150, writer=\"imagemagick\")"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
